MinT - Information on Result #1846248

Information on Result #1846248

OA(128⁶⁸, 515, S₁₂₈, 50), using discarding parts of the base based on linear OA(256⁵⁹, 515, F₂₅₆, 50) (dual of [515, 456, 51]-code), using

constructionÂ X applied to AG(F,461P) âŠ‚ AG(F,463P) [i] based on
1. linear OA(256⁵⁸, 512, F₂₅₆, 50) (dual of [512, 454, 51]-code), using algebraic-geometric code AG(F,461P) [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513, using
  - K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₂₅₆ [i]
2. linear OA(256⁵⁶, 512, F₂₅₆, 48) (dual of [512, 456, 49]-code), using algebraic-geometric code AG(F,463P) [i] based on function field F/F₂₅₆ with g(F) = 8 and N(F) ≥ 513 (see above)
3. linear OA(256¹, 3, F₂₅₆, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: Arbitrary.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.